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Finding the Fourth Proportional to 253,388.41, 379,682.51 and 205,771.78

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Solution

The fourth proportional to 253,388.41, 379,682.51 and 205,771.78 is: 308,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,388.41 : 379,682.51 = 205,771.78 : x
  2. Step 2: Convert to fraction form
    253,388.41/379,682.51 = 205,771.78/x
  3. Step 3: Cross multiply
    253,388.41x = 379,682.51 × 205,771.78
  4. Step 4: Simplify right side
    253,388.41x = 78,127,946,464.77
  5. Step 5: Solve for x
    x = 78,127,946,464.77/253,388.41
  6. Step 6: Final answer
    x = 308,332.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.